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Finding the Fourth Proportional to 10,114.32, 15,161.76 and 7,470.48

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Solution

The fourth proportional to 10,114.32, 15,161.76 and 7,470.48 is: 11,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.32 : 15,161.76 = 7,470.48 : x
  2. Step 2: Convert to fraction form
    10,114.32/15,161.76 = 7,470.48/x
  3. Step 3: Cross multiply
    10,114.32x = 15,161.76 × 7,470.48
  4. Step 4: Simplify right side
    10,114.32x = 113,265,624.84
  5. Step 5: Solve for x
    x = 113,265,624.84/10,114.32
  6. Step 6: Final answer
    x = 11,198.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.